多开口矩形板自由振动特性分析

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Abstract Based on the Rayleigh Ritz method, the free vibration characteristics of a rectangular plate with multiple cutouts were studied.Various boundary conditions of the structure were simulated by using springs with variable stiffness.The improved Fourier series was selected as an admissible function.A numerical method was introduced to calculate the strain energy, kinetic energy and elastic potential energy for the structures with more complex shapes and also for saving computing time.According to the energy functional variational principle, the characteristic equation of the vibration system was obtained, and the natural frequency was obtained by solving the characteristic equation.The accuracy of the proposed method was verified by comparing the results of numerical examples with the results of finite element method.The results provide a reference to practical engineering problems.

Key words： multiple cutouts complex boundary conditions Rayleigh-Ritz method improved Fourier series rectangular plate

Received: 08 January 2019 Published: 15 July 2020

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	Articles by authors
	ZHANG Jun1
	2
	3
	LI Tianyun1
	2
	3
	ZHU Xiang1
	2
	3

Cite this article:

ZHANG Jun1,2,3, et al. Free vibration characteristics analysis on a rectangular plate with multiple cutouts[J]. JOURNAL OF VIBRATION AND SHOCK, 2020, 39(14): 142-147.

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http://jvs.sjtu.edu.cn/EN/ OR http://jvs.sjtu.edu.cn/EN/Y2020/V39/I14/142

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